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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 1, Pages 68–77 (Mi tmf1724)  
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic behavior of the second eigenfrequency for a system of two bodies connected by a thin rod

R. R. Gadyl'shin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (834 kB) Citations (5)
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Abstract: The matching method for asymptotic expansions is applied to construction of the acymptotic for the second vanishing eigenvalue in the problem associated with the system of two bodies connected by a thin rod.
Received: 05.10.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 97, Issue 1, Pages 1154–1159
DOI: https://doi.org/10.1007/BF01014808
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “Asymptotic behavior of the second eigenfrequency for a system of two bodies connected by a thin rod”, TMF, 97:1 (1993), 68–77; Theoret. and Math. Phys., 97:1 (1993), 1154–1159
Citation in format AMSBIB
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\by R.~R.~Gadyl'shin
\paper Asymptotic behavior of the second eigenfrequency for a~system of two bodies connected by a~thin rod
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\pages 68--77
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\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 1
\pages 1154--1159
\crossref{https://doi.org/10.1007/BF01014808}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NJ90800005}
Linking options:
  • https://www.mathnet.ru/eng/tmf1724
  • https://www.mathnet.ru/eng/tmf/v97/i1/p68
    • This publication is cited in the following 5 articles:
    1. R. R. Gadyl'shin, “On the eigenvalues of a “dumb-bell with a thin handle””, Izv. Math., 69:2 (2005), 265–329  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. M. Yu. Planida, “Asymptotics of the eigenelements of the Laplacian with singular perturbations of boundary conditions on narrow and thin sets”, Sb. Math., 196:5 (2005), 703–741  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    3. R. R. Gadyl'shin, “On domains with a narrow isthmus in the critical case”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S68–S74  mathnet  mathscinet  zmath  elib
    4. R. R. Gadyl'shin, “Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator”, Russian Math. Surveys, 52:1 (1997), 1–72  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. R. R. Gadyl'shin, “On scattering by cylinder with narrow slit and with shell of finite depth”, Theoret. and Math. Phys., 106:1 (1996), 19–34  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :111
    References:58
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